Search a number
-
+
5223054540 = 22351124715307
BaseRepresentation
bin1001101110101000…
…10111110011001100
3111111000002122212110
410313110113303030
541144100221130
62222140104020
7243301142154
oct46724276314
914430078773
105223054540
112240307200
121019235010
13653128722
14377965764
15208816ab0
hex137517ccc

5223054540 has 144 divisors (see below), whose sum is σ = 16418013696. Its totient is φ = 1239173760.

The previous prime is 5223054539. The next prime is 5223054559. The reversal of 5223054540 is 454503225.

It is a super-2 number, since 2×52230545402 = 54560597455629223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5223054498 and 5223054507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333567 + ... + 348873.

It is an arithmetic number, because the mean of its divisors is an integer number (114013984).

Almost surely, 25223054540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5223054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209006848).

5223054540 is an abundant number, since it is smaller than the sum of its proper divisors (11194959156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5223054540 is a wasteful number, since it uses less digits than its factorization.

5223054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15388 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5223054540 is about 72270.7031929260. The cubic root of 5223054540 is about 1735.0347879534.

Adding to 5223054540 its reverse (454503225), we get a palindrome (5677557765).

The spelling of 5223054540 in words is "five billion, two hundred twenty-three million, fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 121 132 141 165 188 220 235 242 282 330 363 470 484 517 564 605 660 705 726 940 1034 1210 1410 1452 1551 1815 2068 2420 2585 2820 3102 3630 5170 5687 6204 7260 7755 10340 11374 15307 15510 17061 22748 28435 30614 31020 34122 45921 56870 61228 68244 76535 85305 91842 113740 153070 168377 170610 183684 229605 306140 336754 341220 459210 505131 673508 719429 841885 918420 1010262 1438858 1683770 1852147 2020524 2158287 2525655 2877716 3367540 3597145 3704294 4316574 5051310 5556441 7194290 7408588 7913719 8633148 9260735 10102620 10791435 11112882 14388580 15827438 18521470 21582870 22225764 23741157 27782205 31654876 37042940 39568595 43165740 47482314 55564410 79137190 87050909 94964628 111128820 118705785 158274380 174101818 237411570 261152727 348203636 435254545 474823140 522305454 870509090 1044610908 1305763635 1741018180 2611527270 5223054540